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Finding the Fourth Proportional to 294,057,241.20, 441,085,861.80 and 294,057,241.20

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Solution

The fourth proportional to 294,057,241.20, 441,085,861.80 and 294,057,241.20 is: 441,085,861.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,057,241.20 : 441,085,861.80 = 294,057,241.20 : x
  2. Step 2: Convert to fraction form
    294,057,241.20/441,085,861.80 = 294,057,241.20/x
  3. Step 3: Cross multiply
    294,057,241.20x = 441,085,861.80 × 294,057,241.20
  4. Step 4: Simplify right side
    294,057,241.20x = 129,704,491,653,232,464
  5. Step 5: Solve for x
    x = 129,704,491,653,232,464/294,057,241.20
  6. Step 6: Final answer
    x = 441,085,861.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.